Question

Evaluate the expression (5x^2)^3/(10y)^4 for x=10 and y=5

A.15/128
B.60
C.5/256
D.20
Can someone show me how to do this please

Answer 1

Answer: The answer is option D i.e. 20

Step-by-step explanation:

We have the expression

((5x^2) ^3)/(10y)^4

and values of x=10, y=5

Putting the values of x and y in the expression

((5×10^2)^3)/ (10×5)^4

= (5×100)^3/(50^4)

= (500^3)/6250000

125000000/6250000

= 20

So the expression (5x^2)^3/(10y)^4 is evaluated to 20

Answer 2

Pay attention to the procedure:
(5(10)^2)^3/(10(5))^4. What we need is plug in the corresponding x and y values Then you have to do x squared before you multiply it by 5 like this: (5(100))^3/(10(5))^4 Now solve for what is in the top parenthesis. (500)^3/(10(5))^4 500^3=125000000 Now work on the denominator. Do what is inside the parenthesis first 10*5=50 Now (50)^4=6250000 Now divide the numerator and the denominator. 125000000/6250000 Which equals 20, Please check if I'm wrong but I think this is what you need